简介：Itisshownthatorbitalangularmomentum(OAM)isapromisingnewresourceinfutureclassicalandquantumcommunications.However,theseparationofOAMmodesisstillabigchallenge.Inthispaper,weproposeasimpleandefficientseparationmethodwitharadialvaryingphase.Inthemethod,specificradialvaryingphasesaredesignedandmodulatedfordifferentOAMmodes.Theresultantbeamisfocusedtothespotswithdifferenthorizontalandverticalpositionsafteraconvexlens,whenthecoordinatetransformation,includingtwoopticalelementswithcoordinatetransformationphaseandcorrectphase,operatesonthereceivedbeam.Thehorizontalpositionofthespotisdeterminedbythevortexphases,andtheverticalpositionofthespotisdependentontheradialvaryingphases.ThesimulationandexperimentalresultsshowthattheproposedmethodisfeasiblebothforseparationoftwoOAMmodesandseparationofthreeOAMmodes.TheproposedseparationmethodisavailableinprincipleforanyneighboringOAMmodesbecausetheradialvaryingphaseiscontrolled.Additionally,noextrainstrumentsareintroduced,andthereisnodiffractionandnarrowingprocesslimitationfortheseparation.

简介：我们在场微分照(DQ)的申请为有指数地基于Euler-Bernoulli，Timoshenko，瑞迪，和Levison的四个不同横梁理论改变僵硬的nanobeams的弄弯的分析的方法。明确的表达基于Eringen的非局部的弹性理论。新结果被介绍为指导了并且简单地支持了指导边界条件。数字结果被获得在批评弄弯负担参数上调查非局部的参数，length-to-height比率，边界条件，和不一致的参数的效果。当批评弄弯负担参数随length-to-height比率的增加增加时，批评弄弯负担随非局部的参数的增加减少，这被观察当批评弄弯负担参数随length-to-height比率的增加增加时。

简介：Inthispaper,westudyatypeofsusceptible-exposed-infected(SEI)epidemicmodelwithvaryingpopulationsizeandintroducetherandomperturbationoftheconstantcontactrateintotheSEIepidemicmodelduetotheuniversalexistenceoffluctuations.Undersomemoderateconditions,thedensityoftheexposedandtheinfectedindividualsexponentiallyapproacheszeroalmostsurelyarederived.Furthermore,thestochasticSEIepidemicmodeladmitsastationarydistributionaroundtheendemicequilibrium,andthesolutionisergodic.Somenumericalsimulationsarecarriedouttodemonstratetheefficiencyofthemainresults.

简介：这份报纸为改变系统由延期建模的延期的交换非线性的时间的一个班处理稳定性问题微分方程。旁边在箭头形式下面并且用新构造Lyapunov功能转变系统表示，聚集技术，Borne-Gentina实际稳定性标准与性质联系了，考虑系统的新延期无关的稳定性条件被建立。与在这的存在结果相比区域，获得的结果是明确的，对使用简单并且允许我们避免寻找普通Lyapunov的问题功能。最后，一个例子被提供，与数字模拟，到表明建议方法的有效性。